3791641625 has 16 divisors (see below), whose sum is σ = 4734322320. Its totient is φ = 3031804800.

The previous prime is 3791641547. The next prime is 3791641643. The reversal of 3791641625 is 5261461973.

It can be written as a sum of positive squares in 8 ways, for example, as 2356519936 + 1435121689 = 48544^2 + 37883^2 .

It is not a de Polignac number, because 3791641625 - 2⁸ = 3791641369 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292277 + ... + 304973.

It is an arithmetic number, because the mean of its divisors is an integer number (295895145).

Almost surely, 2^3791641625 is an apocalyptic number.

It is an amenable number.

3791641625 is a deficient number, since it is larger than the sum of its proper divisors (942680695).

3791641625 is a wasteful number, since it uses less digits than its factorization.

3791641625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15101 (or 15091 counting only the distinct ones).

The product of its digits is 272160, while the sum is 44.

The square root of 3791641625 is about 61576.3073348833. The cubic root of 3791641625 is about 1559.3457733648.

The spelling of 3791641625 in words is "three billion, seven hundred ninety-one million, six hundred forty-one thousand, six hundred twenty-five".